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How large should n be to guarantee that the Trapezoidal Rule approximation to L. (- a* – 14a³ – 60x² – lz + 3)dæ is accurate to within 0.1. How large should n be to guarantee that the Simpsons Rule approximation to | (- a* – 14a – 60x² – lz + 3)dæ is accurate to within 0.1. Hint: Remember your answers should be a whole numbers, and Simpson's Rule requires even values for n

How large should n be to guarantee that the Trapezoidal Rule approximation to L. (- a* – 14a³ – 60x² – lz + 3)dæ is accurate to within 0.1. How large should n be to guarantee that the Simpsons Rule approximation to | (- a* – 14a – 60x² – lz + 3)dæ is accurate to within 0.1. Hint: Remember your answers should be a whole numbers, and Simpson's Rule requires even values for n

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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How large should n be to guarantee that the Trapezoidal Rule approximation to 2 14x3 – 60z? læ + 3) dæ is accurate to within 0.1. 5 n = How large should n be to guarantee that the Simpsons Rule approximation to 2 | (- a* – 14x – 60x? – la + 3)dx is accurate to within 0.1. 5 n = Hint: Remember your answers should be a whole numbers, and Simpson's Rule requires even values for n
Transcribed Image Text:How large should n be to guarantee that the Trapezoidal Rule approximation to 2 14x3 – 60z? læ + 3) dæ is accurate to within 0.1. 5 n = How large should n be to guarantee that the Simpsons Rule approximation to 2 | (- a* – 14x – 60x? – la + 3)dx is accurate to within 0.1. 5 n = Hint: Remember your answers should be a whole numbers, and Simpson's Rule requires even values for n
Expert Solution
Step 1

The formula for error bound for the trapezoidal rule is E≤kb-a312n2

Error bound formula for Simpson's rule is E≤k(b-a)5180n4

For Trapezoidal rule f''(x)≤k

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